81 citations · 167 across the 10 of their papers we have counts for
11 papers
Modular Responsive Web Design using Element Queries
Lucas Wiener, Tomas Ekholm, Philipp Haller
Responsive Web Design (RWD) enables web applications to adapt to the characteristics of different devices such as screen size which is important for mobile browsing. Today, the onl…
Estimates for the Lowest Eigenvalue of Magnetic Laplacians
Tomas Ekholm, Hynek Kovarik, Fabian Portmann
We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded domain in two dimensions. When the magnetic field is constant, we give lower an…
Hardy inequalities for p-Laplacians with Robin boundary conditions
Tomas Ekholm, Hynek Kovarik, Ari Laptev
In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best co…
Weak perturbations of the p-Laplacian
Tomas Ekholm, Rupert L. Frank, Hynek Kovarik
We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling…
A Magnetic Contribution to the Hardy Inequality
Tomas Ekholm, Fabian Portmann
We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic f…
Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions
Tomas Ekholm, Andreas Enblom
This paper considers Lieb-Thirring inequalities for higher order differential operators. A result for general fourth-order operators on the half-line is developed, and the trace in…